TY - JOUR
T1 - Relation between dynamic transport properties and static topological structure for the lattice-animal model of branched polymers
AU - Havlin, S.
AU - Djordjevic, Zorica V.
AU - Majid, Imtiaz
AU - Stanley, H. E.
AU - Weiss, G. H.
PY - 1984
Y1 - 1984
N2 - A direct connection is proposed between the "dynamic" transport properties and the "static" topological structure for branched polymers in any number d of spatial dimensions. Specifically, the resistivity exponent is given by =dfdl, where df and dl are the fractal and topological dimensions (the number of sites within path length l of a given site scales as Mldl). To confirm this new result, we carry out extensive exact and Monte Carlo calculations for d=2, 3, 4, and 8.
AB - A direct connection is proposed between the "dynamic" transport properties and the "static" topological structure for branched polymers in any number d of spatial dimensions. Specifically, the resistivity exponent is given by =dfdl, where df and dl are the fractal and topological dimensions (the number of sites within path length l of a given site scales as Mldl). To confirm this new result, we carry out extensive exact and Monte Carlo calculations for d=2, 3, 4, and 8.
UR - http://www.scopus.com/inward/record.url?scp=4243994317&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.53.178
DO - 10.1103/PhysRevLett.53.178
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AN - SCOPUS:4243994317
SN - 0031-9007
VL - 53
SP - 178
EP - 181
JO - Physical Review Letters
JF - Physical Review Letters
IS - 2
ER -